Question

what is the slope of the line that passes through the points (-8, -6) and (-8, 4)? write your answer in simplest form.

Explanation:

Step1: Recall slope - formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Here, $(x_1,y_1)=(-8,-6)$ and $(x_2,y_2)=(-8,4)$.

Step2: Substitute values

Substitute the values into the formula: $m=\frac{4-(-6)}{-8 - (-8)}=\frac{4 + 6}{-8+8}=\frac{10}{0}$.

Step3: Determine the slope

Since division by zero is undefined, the slope of the line passing through the points $(-8,-6)$ and $(-8,4)$ is undefined.

Answer:

Undefined